The number of page requests that arrive at a Web server is a Poisson random variable with mean ...

  

The number of page requests that arrive at a Web server is a Poisson random variable with mean 6000 requests/minute.

(i) Find the probability that there is no request in a 100ms period.

(ii) Find the probability that there are 1000 requests in a 10ms period (at which point the server will crash).